Estimations hölderiennes pour l'équation d'Euler
Existence and uniqueness of solutions for gradient systems without a compactness embedding condition
This paper is devoted to the existence and uniqueness of solutions for gradient systems of evolution which involve gradients taken with respect to time-variable inner products. The Gelfand triple considered in the setting of this paper is such that the embedding is only continuous.
Existence and Uniqueness of Solutions for Partial Differential-Functional Equations of the First Order with Deviating Argument of the Derivative of Unknown Function
We consider the existence and uniqueness problem for partial differential-functional equations of the first order with the initial condition for which the right-hand side depends on the derivative of unknown function with deviating argument.
Existence and uniqueness of solutions of quasilinear hyperbolic systems of partial differential-functional equations
Existence of critical sub-solutions of the Hamilton–Jacobi equation on compact manifolds
Existence, uniqueness and continuous dependence for a hereditary nonlinear functional partial differential equation of the first order
Existence, uniqueness and stability for spatially inhomogeneous Becker-Döring equations with diffusion and convection terms
We consider the spatially inhomogeneous Bekker-Döring infinite-dimensional kinetic system describing the evolution of coagulating and fragmenting particles under the influence of convection and diffusion. The simultaneous consideration of opposite coagulating and fragmenting processes causes many additional difficulties in the investigation of spatially inhomogeneous problems, where the space variable changes differently for distinct particle sizes. To overcome these difficulties, we use a modified...
Explicit definition of an exact measure for the semiflow of a first order partial differential equation